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Finding the Fourth Proportional to 33,467, 46,184.46 and 18,563

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Solution

The fourth proportional to 33,467, 46,184.46 and 18,563 is: 25,616.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,467 : 46,184.46 = 18,563 : x
  2. Step 2: Convert to fraction form
    33,467/46,184.46 = 18,563/x
  3. Step 3: Cross multiply
    33,467x = 46,184.46 × 18,563
  4. Step 4: Simplify right side
    33,467x = 857,322,130.98
  5. Step 5: Solve for x
    x = 857,322,130.98/33,467
  6. Step 6: Final answer
    x = 25,616.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.